Finding the Third Proportional to 78,195 and 168,789

Step by Step Solution

1. Step 1: Write the proportion equation
   78,195 : 168,789 = 168,789 : x
2. Step 2: Convert to fraction form
   78,195/168,789 = 168,789/x
3. Step 3: Cross multiply
   78,195x = 168,789 × 168,789
4. Step 4: Simplify right side
   78,195x = 28,489,726,521
5. Step 5: Solve for x
   x = 28,489,726,521/78,195
6. Step 6: Final answer
   x = 364,342.05